Metrics for arccos

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze8.0ms (0.4%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
33.3%	25%	50%	0%	0%	25%	0%	4
60%	37.5%	25%	0%	0%	37.5%	0%	5
77.8%	43.7%	12.5%	0%	0%	43.7%	0%	6
88.2%	46.9%	6.2%	0%	0%	46.9%	0%	7
93.9%	48.4%	3.1%	0%	0%	48.4%	0%	8
96.9%	49.2%	1.6%	0%	0%	49.2%	0%	9
98.4%	49.6%	0.8%	0%	0%	49.6%	0%	10
99.2%	49.8%	0.4%	0%	0%	49.8%	0%	11
99.6%	49.9%	0.2%	0%	0%	49.9%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample837.0ms (41.5%)

Memory

49.3MiB live, 917.4MiB allocated; 292ms collecting garbage

Samples

597.0ms	8 256×	0	valid
6.0ms	21×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 410.0ms

ival-sqrt: 157.0ms (38.3% of total)

ival-atan: 92.0ms (22.5% of total)

ival-sub!: 51.0ms (12.5% of total)

ival-mult!: 44.0ms (10.7% of total)

ival-div!: 43.0ms (10.5% of total)

ival-add!: 21.0ms (5.1% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess70.0ms (3.5%)

Memory

5.7MiB live, 51.4MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	64	33
2	214	33
3	817	33

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 20 to 18 computations (10% saved)

series4.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

9 → 29

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)

Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))
1.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))
1.0ms	x	@	0	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))

Time

Variable

Point

Expression

2.0ms

inf

((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))

1.0ms

-inf

((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))

1.0ms

((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))

rewrite135.0ms (6.7%)

Memory

-58.6MiB live, 106.4MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	652
0	156	550
0	1283	537

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

38 → 72

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Outputs
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ 1 x) (+.f64 x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(literal -1 binary64))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

eval8.0ms (0.4%)

Memory: 21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 609 to 369 computations (39.4% saved)

prune5.0ms (0.3%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	57	8	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	8	66

Accuracy

100.0%

Counts

66 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	99.9%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
▶	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))))
▶	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))
	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
▶	99.4%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
▶	97.0%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 192 to 186 computations (3.1% saved)

series20.0ms (1%)

Memory

-0.3MiB live, 43.3MiB allocated; 5ms collecting garbage

Counts

36 → 78

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))
(atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)

Outputs
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))))
#s(approx (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2)))))))
#s(approx (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (- 1 x) (sqrt (+ x 1)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x))
5.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (- 1 x) (sqrt (+ x 1)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x))
3.0ms	x	@	0	((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (- 1 x) (sqrt (+ x 1)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x))

Time

Variable

Point

Expression

9.0ms

inf

((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (- 1 x) (sqrt (+ x 1)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x))

5.0ms

-inf

((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (- 1 x) (sqrt (+ x 1)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x))

3.0ms

((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (- 1 x) (sqrt (+ x 1)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x))

rewrite131.0ms (6.5%)

Memory

-30.9MiB live, 115.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	425	2554
0	464	2121
0	3132	2072

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

114 → 281

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))
(atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))))
#s(approx (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2)))))))
#s(approx (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Outputs
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (neg.f64 x)))))
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#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 (* x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (+ (* 1/2 x) -1) #s(literal -1 binary64))
#s(approx (+ (* 1/2 x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))
#s(approx (- 1 (* x x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) -1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 x x))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))))))))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (.f64 (.f64 x x) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 x) -1) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))

eval49.0ms (2.4%)

Memory: 5.4MiB live, 49.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 513 to 1 343 computations (46.6% saved)

prune7.0ms (0.3%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	213	6	219
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	219	8	227

Accuracy

100.0%

Counts

227 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
▶	99.4%	(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	99.9%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	99.5%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
▶	99.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
▶	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
✓	97.0%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 193 to 191 computations (1% saved)

series7.0ms (0.3%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

32 → 70

Calls

Call 1

Inputs
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

Outputs
#s(approx (* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (- x -1)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* x (- (/ 1 x) 1/2))))
#s(approx (* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (- x -1)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1 (* x (- 1/2 (/ 1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) (atan (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1)) (- 1 x) 1 x (- x -1) -1 2 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* -1/2 x) 1) -1/2 (sqrt (+ x 1)) (+ x 1))
2.0ms	x	@	inf	((* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) (atan (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1)) (- 1 x) 1 x (- x -1) -1 2 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* -1/2 x) 1) -1/2 (sqrt (+ x 1)) (+ x 1))
1.0ms	x	@	0	((* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) (atan (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1)) (- 1 x) 1 x (- x -1) -1 2 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* -1/2 x) 1) -1/2 (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

2.0ms

-inf

((* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) (atan (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1)) (- 1 x) 1 x (- x -1) -1 2 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* -1/2 x) 1) -1/2 (sqrt (+ x 1)) (+ x 1))

2.0ms

inf

((* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) (atan (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1)) (- 1 x) 1 x (- x -1) -1 2 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* -1/2 x) 1) -1/2 (sqrt (+ x 1)) (+ x 1))

1.0ms

((* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) (atan (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1)) (- 1 x) 1 x (- x -1) -1 2 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* -1/2 x) 1) -1/2 (sqrt (+ x 1)) (+ x 1))

rewrite119.0ms (5.9%)

Memory

-16.4MiB live, 124.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	395	2189
0	427	1961
0	2971	1913

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

102 → 233

Calls

Call 1

Inputs
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (- x -1)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* x (- (/ 1 x) 1/2))))
#s(approx (* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (- x -1)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1 (* x (- 1/2 (/ 1 x))))))

Outputs
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
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#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 x x))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))))))))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (- x -1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (sqrt (- x -1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (- x -1)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- 1 x) (- x -1)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (- x -1)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (.f64 (.f64 x x) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 x) -1) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* (atan (sqrt (/ (- 1 x) (- x -1)))) 2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (- x -1)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (- x -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (- x -1)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (- x -1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (- x -1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (+ (* -1/2 x) 1) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

eval29.0ms (1.5%)

Memory: 20.5MiB live, 62.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 374 to 1 240 computations (47.8% saved)

prune8.0ms (0.4%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	217	4	221
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	220	9	229

Accuracy

100.0%

Counts

229 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
✓	100.0%	(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
✓	99.4%	(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	99.5%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
▶	98.9%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x #s(literal -1 binary64))))))
✓	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
▶	98.9%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
✓	97.0%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 194 to 190 computations (2.1% saved)

series50.0ms (2.5%)

Memory

-30.3MiB live, 16.1MiB allocated; 3ms collecting garbage

Counts

37 → 82

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x #s(literal -1 binary64))))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64))
#s(literal -1/8 binary64)
#s(literal -1/2 binary64)

Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (+ 1 (* x (+ 2 x)))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (- (* -1/8 x) 1/2)))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 -1))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (* -1 (* x (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1/8))))

Calls

3 calls:

Time	Variable		Point	Expression
43.0ms	x	@	inf	((* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (- 1 (* x x)) 1 (* x x) x (* (- x -1) (- x -1)) (- x -1) -1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 (* x x)) (- x -1)) (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (- 1 x) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (+ (* (+ (* -1/8 x) -1/2) x) 1) (+ (* -1/8 x) -1/2) -1/8 -1/2)
3.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (- 1 (* x x)) 1 (* x x) x (* (- x -1) (- x -1)) (- x -1) -1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 (* x x)) (- x -1)) (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (- 1 x) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (+ (* (+ (* -1/8 x) -1/2) x) 1) (+ (* -1/8 x) -1/2) -1/8 -1/2)
2.0ms	x	@	0	((* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (- 1 (* x x)) 1 (* x x) x (* (- x -1) (- x -1)) (- x -1) -1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 (* x x)) (- x -1)) (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (- 1 x) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (+ (* (+ (* -1/8 x) -1/2) x) 1) (+ (* -1/8 x) -1/2) -1/8 -1/2)

Time

Variable

Point

Expression

43.0ms

inf

((* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (- 1 (* x x)) 1 (* x x) x (* (- x -1) (- x -1)) (- x -1) -1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 (* x x)) (- x -1)) (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (- 1 x) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (+ (* (+ (* -1/8 x) -1/2) x) 1) (+ (* -1/8 x) -1/2) -1/8 -1/2)

3.0ms

-inf

((* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (- 1 (* x x)) 1 (* x x) x (* (- x -1) (- x -1)) (- x -1) -1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 (* x x)) (- x -1)) (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (- 1 x) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (+ (* (+ (* -1/8 x) -1/2) x) 1) (+ (* -1/8 x) -1/2) -1/8 -1/2)

2.0ms

((* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (- 1 (* x x)) 1 (* x x) x (* (- x -1) (- x -1)) (- x -1) -1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 (* x x)) (- x -1)) (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (- 1 x) (sqrt (- x -1)) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (+ (* (+ (* -1/8 x) -1/2) x) 1) (+ (* -1/8 x) -1/2) -1/8 -1/2)

rewrite179.0ms (8.9%)

Memory

12.9MiB live, 113.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	438	2660
0	483	2202
0	3264	2151

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

119 → 267

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x #s(literal -1 binary64))))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64))
#s(literal -1/8 binary64)
#s(literal -1/2 binary64)
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (+ 1 (* x (+ 2 x)))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (- (* -1/8 x) 1/2)))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 -1))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (* -1 (* x (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1/8))))

Outputs
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x))) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) (fabs.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (neg.f64 x)))) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
(.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
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#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
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#s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))
#s(approx (- 1 (* x x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (- x -1) (- x -1)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (- x -1) (- x -1)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- x -1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 x x))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))))))))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (- x -1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (sqrt (- x -1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) (.f64 (neg.f64 (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
#s(approx (+ (* -1/8 x) -1/2) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (+ (* -1/8 x) -1/2) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) 2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (- x -1)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (- x -1)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (- x -1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (- x -1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (+ (* (+ (* -1/8 x) -1/2) x) 1) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/8 binary64)) (.f64 x x)))

eval38.0ms (1.9%)

Memory: 19.0MiB live, 106.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 3 301 to 1 601 computations (51.5% saved)

prune63.0ms (3.1%)

Memory

-72.4MiB live, 27.3MiB allocated; 81ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	287	3	290
Fresh	0	0	0
Picked	3	2	5
Done	0	4	4
Total	290	9	299

Accuracy

100.0%

Counts

299 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
	99.5%	(*.f64 (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
✓	100.0%	(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
	98.9%	(.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
✓	99.4%	(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (* (- x -1) (- x -1)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)))))))
✓	98.9%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x #s(literal -1 binary64))))))
✓	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
✓	97.0%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 314 to 238 computations (24.2% saved)

regimes28.0ms (1.4%)

Memory

1.2MiB live, 50.8MiB allocated; 9ms collecting garbage

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
(.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x #s(literal -1 binary64))))))
(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (* (- x -1) (- x -1)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))))

Outputs
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))))

Calls

5 calls:

9.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
5.0ms	x
4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
4.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
4.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
100.0%	1	`x`

Compiler

Compiled 32 to 28 computations (12.5% saved)

regimes24.0ms (1.2%)

Memory

16.9MiB live, 62.7MiB allocated; 4ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
(.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x #s(literal -1 binary64))))))
(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (* (- x -1) (- x -1)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))

Outputs
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))

Calls

5 calls:

7.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
5.0ms	x
4.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
4.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
100.0%	1	`x`

Compiler

Compiled 32 to 28 computations (12.5% saved)

regimes19.0ms (1%)

Memory

-4.9MiB live, 40.6MiB allocated; 5ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
(.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x #s(literal -1 binary64))))))
(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))

Outputs
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))

Calls

5 calls:

6.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
4.0ms	x
3.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
3.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
100.0%	1	`x`

Compiler

Compiled 32 to 28 computations (12.5% saved)

regimes16.0ms (0.8%)

Memory

-27.2MiB live, 23.5MiB allocated; 11ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
(.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))

Outputs
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))

Calls

5 calls:

9.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
2.0ms	x
2.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
2.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
99.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
99.4%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
99.4%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
99.4%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
99.4%	1	`x`

Compiler

Compiled 32 to 28 computations (12.5% saved)

regimes7.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
(.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))

Outputs
(.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))

Calls

5 calls:

2.0ms	x
1.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
98.9%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
98.9%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
98.9%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`

Compiler

Compiled 32 to 28 computations (12.5% saved)

regimes5.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))

Calls

5 calls:

1.0ms	x
1.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
98.9%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
98.9%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
98.9%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
98.9%	1	`x`

Compiler

Compiled 32 to 28 computations (12.5% saved)

regimes7.0ms (0.4%)

Memory

-31.4MiB live, 14.2MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Calls

5 calls:

4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
1.0ms	x
1.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
97.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
97.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
97.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
97.0%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
97.0%	1	`x`

Compiler

Compiled 32 to 28 computations (12.5% saved)

derivations71.0ms (3.5%)

Memory

41.7MiB live, 83.3MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 69 to 52 computations (24.6% saved)

preprocess74.0ms (3.7%)

Memory: -22.6MiB live, 166.3MiB allocated; 18ms collecting garbage
Compiler: Compiled 79 to 61 computations (22.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze8.0ms (0.4%)

sample837.0ms (41.5%)

preprocess70.0ms (3.5%)

series4.0ms (0.2%)

rewrite135.0ms (6.7%)

eval8.0ms (0.4%)

prune5.0ms (0.3%)

series20.0ms (1%)

rewrite131.0ms (6.5%)

eval49.0ms (2.4%)

prune7.0ms (0.3%)

series7.0ms (0.3%)

rewrite119.0ms (5.9%)

eval29.0ms (1.5%)

prune8.0ms (0.4%)

series50.0ms (2.5%)

rewrite179.0ms (8.9%)

eval38.0ms (1.9%)

prune63.0ms (3.1%)

regimes28.0ms (1.4%)

regimes24.0ms (1.2%)

regimes19.0ms (1%)

regimes16.0ms (0.8%)

regimes7.0ms (0.3%)

regimes5.0ms (0.3%)

regimes7.0ms (0.4%)

derivations71.0ms (3.5%)

preprocess74.0ms (3.7%)

end0.0ms (0%)

Profiling